Q-5: a) Find the area of the region enclosed by the two graphs y = e²x and y = 1 -x, on [0,1]. Find the average value of f(x) = ² on [1,e²].

Q: Doint approximation. time (sec) 0 1 2 3 4 5 6 velocity (ft/sec) 26 47 49 30 7 2 19 feet

A:

Q: 2. Use the process of implicit differentiation to find given that: 52³² + 3 = 5xy. Apply implicit…

A:

Q: Find d dr (73 (7²). Type In(x) for the natural logarithm function.

A: As we know that; The Power law: ddxxn=nxn-1 And the common derivative; ddxlnx=1x   Let, y=7x

Q: What part of this graph is the solution area for a system of inequalities? The blue and red parts…

A: Let's find area of inequalities from given graph.

Q: For a cost function, f(x, y), the minimum cost for a production of 56 is given by f(49, 84) = 1400,…

A:

Q: Show that (u₁. U₂. u) is an orthogonal basis for R³. Then express x as a linear combination of the…

A: Answer is in next step. please give a like !!

Q: Consider the equation x^(2)e^(y) +3y=1. a.) Find dy/dx by implicit differentiation. b.) Find the…

A:

Q: X A company manufactures mountain bikes. The research department produced the marginal cost function…

A:

Q: Find equivalent polar coordinates (r', 0') satisfying r' ≥ 0,0 ≤ 0¹ < 2π for the · (-1, (c) point…

A: Solution is given below:

Q: Differentiate the following function. You do not need to simplify the derivative. dy dx || y = 2e²²

A:

Q: Using logarithmic differentiation, find the derivative of e-3x √√2x-5 (6-524 f(x) =

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: 2x²-3x + 10 dx (x²+4)2

A: The objective of the question is evaluate the indefinite integral.

Q: Inequalities can appear in which of the following types of equations? Rational equations and linear…

A:

Q: 1.2: The solution of (Se*-3)³ = 32 is a) In 3 b) 2 c) 1 do e) None of the above

A: Explanation of the answer is as follows

Q: When completing the square for the quadratic equation shown below, how is c calculated?

A: Our Aim is to show how c is calculated when completing the square for thequadratic equation…

Q: Rewrite sin(x+ H Enclose arguments of functions in parentheses. For example, sin (2x). sir 20 in…

A:

Q: A firm produces two types of calculators each week, x of type A and y of type B. The weekly revenue…

A: we need to find out the partial derivatives of profit function with respect to x and y.

Q: Two cars are moving towards an intersection. One car is 150 meters north of the intersection and…

A:

Q: Find the exact sum of the following series (-1)-1 (0.25) 12 (0.25) 3 (0.25) 4 (0.25) 5

A:

Q: Perform an operation on the given system that eliminates the indicated variable. Write the new…

A:

Q: 1 f(x) =(√² + √2)²

A:

Q: a) 2+ 3i b) 2-3√2i Write in trigonometric form with 0 ≤ 0 ≤ 2π

A:

Q: y = (In x)* xln x

A: Explanation of the answer is as follows

Q: Find the exact average value fave of f(x) [0,5] where f(c) = fave. fave = C= Submit Question = 25-2…

A:

Q: Consider the function f(x) = 2 (cos(z-7)+2). Determine its amplitude, period, and midline. Enter the…

A: The midline of a periodic function is the horizontal line which is between the function's maximum…

Q: Which of the following is an example of an inequality? 60 + |-3| = 63 60 + 2x < 120 60 - 2(15) =…

A:

Q: A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.…

A: From the given data we have to find the value of a2, a3, a4, a5.

Q: If what does the following integral equal? 1 d(v)dv= 8 - d(v)dv = 20 and 8 [*d(v)dv = 6.8 7

A: To evaluate the given definite integral.

Q: Write the following expression as one integral. 3 5 3 [ -6 f(x) dx + f(x) dx - f(x) dx 0 0 3 5 3 $…

A:

Q: Use the rules for sums of powers of integers to compute the sum. 21 Σ; j=5

A:

Q: Find the exact average value fave of f(x) = √25 - x² between 0 and 5, then find an exact number c in…

A:

Q: y = In z I at x = 1: Oy=-x+1 Oy=-x-1 Oy=x-1 Oy=x+1

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: Find the partial sum S, of the geometric sequence that satisfies the given conditions. 2 a=²₁r = ₁ n…

A: Please see the below picture for detailed solution.

Q: Solve the following system of equations: 2x - 3y = 21 and 5x + 4y = 18 (6,-3) (9,-1) (2,2)…

A: To solve the given system of equations.

Q: Consider the function f(x) = 9 x³ Let F(x) be the antiderivative of f(x) with F(1) = 0. Then F(x) =

A:

Q: The 12th term of an arithmetic sequence is 59, and the fifth term is 31, Find the 20th term. 820 =

A: Topic = Sequence

Q: Find the average value fave of f(x) = x³ between -1 and 1, then find a number c in [-1,1] where f(c)…

A:

Q: Typically, an inequality can have how many solutions? Multiple solutions One only solution…

A: An inequality is defined on a particular region.

Q: let cosx=-4/5, pi<2<3pi/2. find csc(x/2).

A: Solved below

Q: 1.5: The area of the region enclosed by the graph of f(x)=√x and the x- axis on the interval [0, 4]…

A: Area bounded between the curves : Consider the curve y=f(x) and x-axis on the interval a,b , then…

Q: 10. Find function that satisfies the given conditions: f"(x)=6x³-3x+4, f'(1)=-3, f(1) = -6

A: The function satisfies the condition f''x=6x3-3x+4, f'(1)=-3, f(1)=-6 use the integration formulas,…

Q: Find the nth term of a sequence whose first several terms are given. 10 11 9' 10' 11' 12' an = Need…

A: The given sequence is 89,910,1011,1112,....

Q: 3 Find ( + 6x + 2) dr + C

A: To evaluate the integral.

Q: A supermarket sells two brands of granola: brand A at $p per pound and brand B at $q per pound. The…

A: We have to find partial derivatives and new values of x and y .

Q: Use the rules for sums of powers of integers to compute the sum. 24 4.² k=8

A: Recall: sum of squares of n integer                    ∑i=1ni2=n(n+1)(2n+1)6

Q: Number 1234567890....1234567890 is given and contains 200 digits. All digits at odd places(looking…

A: Given data:- The given number is 1234567890 …..1234567890 (200 digits) To find the one digit left:-

Q: Find the partial sum S, of the arithmetic sequence that satisfies the given conditions. a2 = 9, a5 =…

A:

Q: Find the derivative of y with respect to x in the following equation y = 1¹ where u = 1-z O x² O-x²…

A:

Q: Solve the differential equation (2x + y) dx - O a. 5x+10y + In |10x O b. O c. 5x O d. 5x (4x + 2y -…

A:

Q: 3) Graph and evaluate and evaluate 5 dx -2 7 6 و اس ام اس اب 5 4 3 2 101 -7-6-5-4-3 -2 -1 0 1 2 3 4…

A: Topic = Functions